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13214410252110 = 2345371972238179
BaseRepresentation
bin1100000001001011100000…
…1110101001111101001110
31201210021200222012212110000
43000102320032221331032
53213001103011031420
644034341040225130
72532465255565254
oct300227016517516
951707628185400
1013214410252110
1142352220a7661
12159505b30b1a6
1374b1625a7292
1433981bc925d4
1517db0cc7a690
hexc04b83a9f4e

13214410252110 has 160 divisors (see below), whose sum is σ = 36677664444960. Its totient is φ = 3411198137088.

The previous prime is 13214410252103. The next prime is 13214410252123. The reversal of 13214410252110 is 1125201441231.

13214410252110 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 441 + 0 + 2 + 5 + 211 + 0 = 666.

It is a super-2 number, since 2×132144102521102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4785001 + ... + 7023179.

It is an arithmetic number, because the mean of its divisors is an integer number (229235402781).

Almost surely, 213214410252110 is an apocalyptic number.

13214410252110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13214410252110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338832222480).

13214410252110 is an abundant number, since it is smaller than the sum of its proper divisors (23463254192850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13214410252110 is a wasteful number, since it uses less digits than its factorization.

13214410252110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238432 (or 2238423 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 13214410252110 its reverse (1125201441231), we get a palindrome (14339611693341).

The spelling of 13214410252110 in words is "thirteen trillion, two hundred fourteen billion, four hundred ten million, two hundred fifty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 197 222 270 333 370 394 405 555 591 666 810 985 999 1110 1182 1665 1773 1970 1998 2955 2997 3330 3546 4995 5319 5910 5994 7289 8865 9990 10638 14578 14985 15957 17730 21867 26595 29970 31914 36445 43734 53190 65601 72890 79785 109335 131202 159570 196803 218670 328005 393606 590409 656010 984015 1180818 1968030 2238179 2952045 4476358 5904090 6714537 11190895 13429074 20143611 22381790 33572685 40287222 60430833 67145370 82812623 100718055 120861666 165625246 181292499 201436110 248437869 302154165 362584998 414063115 440921263 496875738 604308330 745313607 828126230 881842526 906462495 1242189345 1322763789 1490627214 1812924990 2204606315 2235940821 2484378690 2645527578 3726568035 3968291367 4409212630 4471881642 6613818945 6707822463 7453136070 7936582734 11179704105 11904874101 13227637890 13415644926 16314086731 19841456835 22359408210 23809748202 32628173462 33539112315 35714622303 39682913670 48942260193 59524370505 67078224630 71429244606 81570433655 97884520386 119048741010 146826780579 163140867310 178573111515 244711300965 293653561158 357146223030 440480341737 489422601930 734133902895 880960683474 1321441025211 1468267805790 2202401708685 2642882050422 4404803417370 6607205126055 13214410252110